I’m from CT, live in dc area now but my family is all up there so we try to find places near them because I can drive more.
I can tell you right now there are no CT beach towns or even towns that I would spend more than 2-3 days in and I love CT.
Where I would go instead:
Cape Cod
Newport/Narragansett RI
Finger Lakes or Lake George in NY
The Hamptons
NYC, Philly or Boston
Northern NJ beach towns like OCNJ, point Pleasant and LBI
Here’s some more CT info:
https://www.dcurbanmom.com/jforum/posts/list/974360.page